Equation of Line Using Linear Regression

Linear Regression

Why linear regression?

Use linear regression to predict the outcome of a progression using a given set of data.

Multiple Choice

Write the equation for the linear regression shown.

• $$y=ax+b$$

• $$y=0.6x+0.1$$

• $$y=0.72x+r$$

• $$y=0.1x+0.6$$

Multiple Choice

Write the equation for the linear regression shown.

• $$y=-5.11x+3.23$$

• $$r=0.8$$

• $$y=3.23x\ -\ 5.11$$ $$\$$

• $$y=0.64x+0.8$$

Example #2

• Click on STAT

• Click on Edit

• Enter the data into L1 and L2

• Click STAT, then right to CALC

• Scroll down to LinReg(ax+b)

• Click Enter, then Enter again

Example #3

• Click on STAT

• Click on Edit

• Enter the data into L1 and L2

• Click STAT, then right to CALC

• Scroll down to LinReg(ax+b)

• Click Enter, then Enter again

Multiple Choice

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

• $4403

• $4673

• $8483

• $6443

Multiple Choice

Write the equation for the table given

• y = 1/3x
• y = 3x
• y = 1/2x

Multiple Choice

What is the line of best fit?

• f(x)= 5x+1.82

• cannot be determined

• f(x)= 1.82x + 5.02

• f(x)= 1.1x + 4.2

Multiple Choice

Using your linear regression, what is y when x is 30?

• 61.59
• 52.46
• 57.94
• 59.76

Multiple Choice

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

• y = 1.5x + 12
• y = 12x + 1.5
• y = 0.67x - 8
• y = -8x + 0.67

Multiple Choice

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

Multiple Choice

The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.
• They drove at a speed of 61.93 miles per hour.
• They drove 61.93 miles total.
• They drove 61.93 hours total.

Multiple Choice

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016